Home / 625-900

Finding the Third Proportional to 625 and 900

Calculator

Solution

The third proportional to 625 and 900 is: 1,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    625 : 900 = 900 : x
  2. Step 2: Convert to fraction form
    625/900 = 900/x
  3. Step 3: Cross multiply
    625x = 900 × 900
  4. Step 4: Simplify right side
    625x = 810,000
  5. Step 5: Solve for x
    x = 810,000/625
  6. Step 6: Final answer
    x = 1,296

Related Problems

Find third proportional to 312.50 and 450
Half scale
Find third proportional to 1,250 and 1,800
Double scale
Find third proportional to 627 and 903
Similar ratio
Find third proportional to 937.50 and 1,350
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.